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Finding the Fourth Proportional to 307.98, 459.77 and 285.48

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Solution

The fourth proportional to 307.98, 459.77 and 285.48 is: 426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.98 : 459.77 = 285.48 : x
  2. Step 2: Convert to fraction form
    307.98/459.77 = 285.48/x
  3. Step 3: Cross multiply
    307.98x = 459.77 × 285.48
  4. Step 4: Simplify right side
    307.98x = 131,253.71
  5. Step 5: Solve for x
    x = 131,253.71/307.98
  6. Step 6: Final answer
    x = 426.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.